Answer:
p = 8
Explanation:
Given 4 equations in 4 unknown values, you want to find the value of p.
- c = t +s
- ts = c +t -s
- 3c = t +10s
- p = (c +t)/s
Solution
Substituting for c in the second equation, we have ...
ts = (t +s) +t -s
ts = 2t . . . . . . simplify
s = 2 . . . . . . . divide by 2
Substituting for c and s in the third equation, we have ...
3(t +2) = t +10·2
2t = 14 . . . . . . . . . subtract t+6
t = 7
Substituting for c, t, s in the equation for p gives ...
p = ((t +s) +t)/s = (2·7 +2)/2 = 8
The value of p is 8.
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Additional comment
The variable values are (c, p, s, t) = (9, 8, 2, 7).